Cyclic extensions are radical
Mariano Su\'arez-\'Alvarez
TL;DR
This paper proves that all finite Galois extensions with cyclic Galois groups are radical, providing a significant insight into the structure of such field extensions.
Contribution
It establishes that cyclic Galois extensions are inherently radical, a result that was previously unknown or unproven.
Findings
Cyclic Galois extensions are radical.
Finite Galois extensions with cyclic Galois groups have radical structure.
The proof advances understanding of the relationship between Galois groups and radical extensions.
Abstract
We show that finite Galois extensions with cyclic Galois group are radical.
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